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The value of the integral 2∫ from −∞ to ∞ of (sin 2πt)/(πt) dt is equal to

1. 0
2. 0.5
3. 1
4. 2

Correct answer: 2

Solution

The integral evaluates to 1, and since it is multiplied by 2, the final result is 2. This is a known result from Fourier analysis, where the integral of the sinc function over its entire range yields a specific value.

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